Can black holes have Euclidean cores?

Details Can black holes have Euclidean cores? Can black holes have Euclidean cores?

2003-03-20

arxiv.org/abs/hep-th/0303174v2

Phys.Rev. D68 (2003) 044003

Physics

High Energy Physics

High Energy Physics - Theory

14 pages with figures, version to appear in PRD

Scientific paper

10.1103/PhysRevD.68.044003

The search for regular black hole solutions in classical gravity leads us to consider a core of Euclidean signature in the interior of a black hole. Solutions of Lorentzian and Euclidean general relativity match in such a way that energy densities and pressures of an isotropic perfect fluid form are everywhere finite and continuous. Although the weak energy condition cannot be satisfied for these solutions in general relativity, it can be when higher derivative terms are added. A numerical study shows how the transition becomes smoother in theories with more derivatives. As an alternative to the Euclidean core, we also discuss a closely related time dependent orbifold construction with a smooth space-like boundary inside the horizon.

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